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What is the Square Root of 27983?

The square root of 27983 is 167.2812003783. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27983 = 167.2812003783
CalculatedNon-perfect squareIrrational
Exact form√27983
Perfect squareNo
Number typeIrrational
Verification167.28120037832 ≈ 27983

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How the answer is calculated

We solve x2 = 27983. The resulting value is x = 167.2812003783.

Verification: 167.28120037832 ≈ 27983.

Simplified radical form

The square root of 27983 in simplified radical form is √27983.

There are no square factors that can be taken outside the radical, so √27983 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16727889
Upper or equal16828224

Nearby square roots

NumberSquare root
√27980167.2722332009
√27981167.2752223134
√27982167.2782113726
√27983167.2812003783
√27984167.2841893306
√27985167.2871782295
√27986167.2901670751

Number properties

Is 27983 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27983 is irrational because 27983 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 27983.